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Measures of Extropy Based on Concomitants of Generalized Order Statistics under a General Framework from Iterated Morgenstern Family
Faculty
Science
Year:
2023
Type of Publication:
ZU Hosted
Pages:
Authors:
Islam Abdallah Heusseiny Metwally
Staff Zu Site
Abstract In Staff Site
Journal:
Mathematics MDPI
Volume:
Keywords :
Measures , Extropy Based , Concomitants , Generalized Order Statistics
Abstract:
In this work, we reveal some distributional characteristics of concomitants of generalized order statistics (GOS) with parameters that are pairwise different, arising from iterated Farlie–Gumbel– Morgenstern (IFGM) family of bivariate distributions. Additionally, the joint distribution and product moments of concomitants of GOS for this family are discussed. Moreover, some well-known information measures, i.e., extropy, cumulative residual extropy (CRJ), and negative cumulative extropy (NCJ), are derived. Applications of these results are given for order statistics, record values, and progressive type-II censored order statistics with uniform marginals distributions. Additionally, the issue of estimating the CRJ and NCJ is looked into, utilizing the empirical technique and the concomitant of GOS. Finally, bivariate real-world data sets have been analyzed for illustrative purposes, and the performance of the proposed method is quite satisfactory.
Author Related Publications
Islam Abdallah Heusseiny Metwally, "Information measures in records and their concomitants arising from Sarmanov family of bivariate distributions", Elsevier, 2022
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Islam Abdallah Heusseiny Metwally, "Concomitants of Order Statistics and Record Values from Generalization of FGM Bivariate-Generalized Exponential Distribution", ATLANTIS PRESS, 2019
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Islam Abdallah Heusseiny Metwally, "CONCOMITANTS OF ORDER STATISTICS AND RECORD VALUES FROM ITERATED FGM TYPE BIVARIATE-GENERALIZED EXPONENTIAL DIS- TRIBUTION", INSTITUTO NACIONAL DE ESTATISTICA, 2019
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Islam Abdallah Heusseiny Metwally, "The Extropy of Concomitants of Generalized Order Statistics from Huang–Kotz–Morgenstern Bivariate Distribution", Hindawi, 2022
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Islam Abdallah Heusseiny Metwally, "Information measures in records and their concomitants arising from Sarmanov family of bivariate distributions", ELSEVIER, 2022
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Department Related Publications
Heba Ibrahim Mustafa, "On L- fuzzy generalized topology", Foundation of Computer Science,, 2013
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Alaa Hassan Attia Hassan, "Certain New Classes of Analytic Functions with Varying Arguments", Hindawi Publishing Corporation, USA, 2013
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Huda Ibrahim Sayed Ahmad, "Traveling Wave Solutions of the Nonlinear 3 1-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables G/G, 1/G-Expansion Method", Hindawi Publishing Corporation Journal of Applied Mathematics, 2012
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Hassan Mostafa Metwally, "Granular Computing Biapproximation Spaces", IEEE, 2005
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